College Physics

posted by .

Two shuffleboard disks of equal mass, one orange and the other yellow, are involved in a glancing collision. The yellow disk is initially at rest and is struck by the orange disk moving with a speed vi. After the collision, the orange disk moves along a direction that
makes an angle theta with its initial direction of motion. The velocities of the two disks are perpendicular after the collision. Determine:
1) the final speed of each disk;
2) whether the collision was elastic or not.

• College Physics -

I've seen this question many times on the internet and am bothered with the erroneous answers that were provided. I know that you are most likely done with this class (and hopefully you have passed it) but for the sake of anyone else who is looking for an answer here is the solution:
Common versions of this question have given theta values of 37 degrees for the orange shuffleboard and 53 degrees for the green shuffleboard.

M(green)=M(orange)

M(green)
v(initial) = 0
v(final)=?

M(orange)
V(initial) = 5 m/s (along the horizontal)
V(final) = ?

This is an elastic collision, use the equation for this collision type (MV1 + MV2)i = (MV1-MV2)f (the M's cancel out since both masses are equal)

This is a 2-D collision so split them accordingly:
X: 5 = V1(cos53degrees) + V2(cos37degrees)

Y: 0 = V1(sin37degrees) - V2(sin53degrees)
solve for V1 or V2,
V1 = V2(sin53degrees)/(sin37degrees)
plug this value into the first equation

X: 5 = [1.33 V2](cos53degrees) + V2(cos37degrees)

Solve for V2 to get 3.127
plug this into V1=1.33V2 to get the value for V1 and there you go!

• College Physics -

thank you^

Similar Questions

1. Physics

Two disks are on a frictionless plane as shown. The first disk, with mass M is initially at rest. The second disk with mass 2M has an initial velocity of 6 m/s in the y direction before colliding with the first disk. After the collision, …
2. Physics

Two shuffleboard disks of equal mass, one orange and the other yellow, are involved in a perfectly elastic glancing collision. The yellow disk is initially at rest and is struck by the orange disk moving initially to the right at 5.60 …
3. physics

A force of 100 N is applied tangentially to a disk of radius 10 cm and mass 0.5 kg. the disk is initially at rest. What is the angular acceleration of the disk?
4. fizik

Two shuffleboard disks of equal mass, one orange and the other yellow are involved in a perfectly elastic glancing collision. The yellow disk is initially at rest and is struck by the orange disk moving initially to the right at 7.00 …
5. fizik

Two shuffleboard disks of equal mass, one orange and the other yellow are involved in a perfectly elastic glancing collision. The yellow disk is initially at rest and is struck by the orange disk moving initially to the right at 7.00 …
6. fizik

please help.. i really need the answer as soon as possible.. Two shuffleboard disks of equal mass, one orange and the other yellow are involved in a perfectly elastic glancing collision. The yellow disk is initially at rest and is …
7. physics

There are two spinning disks A and B arranged so that they initially are separated but can be pushed into contact. Disk A is made of a lighter material, so it has a moment of inertia that is one third that of disk B. Disk A starts …
8. physics

Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The green disk is initially at rest and is struck by the orange disk moving initially to the right at oi …
9. school

Two disks are spinning freely about axes that run through their respective centres (see figure below). The larger disk (R1 = 1.42 m) has a moment of inertia of 1180 kg ยท m2 and an angular speed of 4.0 rad/s. The smaller disk (R2 = …
10. Physics

Two hockey pucks of equal mass are involved in a perfectly elastic, glancing collision, as shown in the figure below. The orange puck is initially moving to the right at voi = 3.95 m/s, when it strikes the initially stationary blue …

More Similar Questions